\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12 - 2D Circular Geometry Kernel
Functions
Geometric Global Functions
2D Circular Geometry Kernel Reference

Functions

bool CGAL::has_in_x_range (const Circular_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
 Checks whether the point lies in the vertical range defined by the arc.
 
bool CGAL::has_in_x_range (const Line_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
 Checks whether the point lies in the vertical range defined by the line segment.
 
bool CGAL::has_on (const Circle_2< CircularKernel > &c, const Circular_arc_point_2< CircularKernel > &p)
 Checks whether the point lies on the circle.
 
template<class OutputIterator >
OutputIterator CGAL::make_x_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
 Copies in the output iterator the x-monotone sub-arcs of ca.
 
template<class OutputIterator >
OutputIterator CGAL::make_xy_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
 Copies in the output iterator the xy-monotone sub-arcs of ca.
 
Circular_arc_point_2< CircularKernel > CGAL::x_extremal_point (const Circle_2< CircularKernel > &c, bool b)
 Returns the leftmost (resp. rightmost) point of the circle if b is true (resp. false).
 
template<class OutputIterator >
OutputIterator CGAL::x_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
 Copies in the output iterator the x-extremal points of the circle. More...
 
Circular_arc_point_2< CircularKernel > CGAL::y_extremal_point (const Circle_2< CircularKernel > &c, bool b)
 Returns the bottommost (resp. topmost) point of the circle if b is true (resp. false).
 
template<class OutputIterator >
OutputIterator CGAL::y_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
 Copies in the output iterator the y-extremal points of the circle. More...
 
CGAL::Comparison_result CGAL::compare_y_to_right (const Circular_arc_2< CircularKernel > &ca1, const Circular_arc_2< CircularKernel > &ca2, Circular_arc_point_2< CircularKernel > &p)
 Compares vertically the two arcs, to the right of the point p,. More...
 

Function Documentation

◆ compare_y_to_right()

CGAL::Comparison_result CGAL::compare_y_to_right ( const Circular_arc_2< CircularKernel > &  ca1,
const Circular_arc_2< CircularKernel > &  ca2,
Circular_arc_point_2< CircularKernel > &  p 
)

#include <CGAL/global_functions_circular_kernel_2.h>

Compares vertically the two arcs, to the right of the point p,.

Precondition
p is an intersection point of the arcs, and the arcs are defined to the right of p.

◆ x_extremal_points()

template<class OutputIterator >
OutputIterator CGAL::x_extremal_points ( const Circle_2< CircularKernel > &  c,
OutputIterator  res 
)

#include <CGAL/global_functions_circular_kernel_2.h>

Copies in the output iterator the x-extremal points of the circle.

res iterates on elements of type Circular_arc_point_2<CircularKernel>, sorted in x.

◆ y_extremal_points()

template<class OutputIterator >
OutputIterator CGAL::y_extremal_points ( const Circle_2< CircularKernel > &  c,
OutputIterator  res 
)

#include <CGAL/global_functions_circular_kernel_2.h>

Copies in the output iterator the y-extremal points of the circle.

res iterates on elements of type Circular_arc_point_2<CircularKernel>, sorted in y.